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11343512511153 = 324604927370633
BaseRepresentation
bin1010010100010001111000…
…0010001010001010110001
31111011102120220001022000200
42211010132002022022301
52441323003200324103
640043045424505413
72250353546305044
oct245043602121261
944142526038020
1011343512511153
1136838360a6929
12133254747b269
136438c4c32384
142b305957cc5b
1514a10ddce0a3
hexa511e08a2b1

11343512511153 has 12 divisors (see below), whose sum is σ = 16385430044100. Its totient is φ = 7562177174016.

The previous prime is 11343512511131. The next prime is 11343512511169. The reversal of 11343512511153 is 35111521534311.

11343512511153 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 351 + 251 + 1 + 1 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1113641205264 + 10229871305889 = 1055292^2 + 3198417^2 .

It is not a de Polignac number, because 11343512511153 - 29 = 11343512510641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11343512511173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13270876 + ... + 14099757.

It is an arithmetic number, because the mean of its divisors is an integer number (1365452503675).

Almost surely, 211343512511153 is an apocalyptic number.

It is an amenable number.

11343512511153 is a deficient number, since it is larger than the sum of its proper divisors (5041917532947).

11343512511153 is a wasteful number, since it uses less digits than its factorization.

11343512511153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27416688 (or 27416685 counting only the distinct ones).

The product of its digits is 27000, while the sum is 36.

The spelling of 11343512511153 in words is "eleven trillion, three hundred forty-three billion, five hundred twelve million, five hundred eleven thousand, one hundred fifty-three".

Divisors: 1 3 9 46049 138147 414441 27370633 82111899 246335697 1260390279017 3781170837051 11343512511153